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2 years ago

Three times a number x is at least -18

Mathematics

1 answer:

vladimir2022 [97]2 years ago

4 0

Answer:

$3x \geqslant - 18$

at least means it need to be more or the lowest it can be is 18

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I think of a number, add 8 to it and the result is 14. Find the number

Leya [2.2K]

Answer:

Step-by-step explanation:

The equation for this would be:

n+8=14, since we are adding 8 to a number and getting 14

To solve, isolate the variable n, by subtracting 8 from both sides

n+8=14

n+8-8=14-8

n=6

The number is 6

3 0

2 years ago

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Simplify the square root of 2 multiplied by the square root of 18

zimovet [89]

The answer is 9 for sure

5 0

2 years ago

Paige made $1411.75 last year by investing a total of $15,250 in two accounts: one paying 8.5% annual interest and the other pay

Umnica [9.8K]

Lets x and y are 2 accounts Paige invested
x account invested with annual interest rate 8.5%
y account invested with annual interest rate 10%

x + y =<span>15,250 so x = 15,250 - y
0.085x + 0.1y = </span><span>1,411.75

substitute </span>x = 15,250 - y into 0.085x + 0.1y = 1,411.75

0.085x + 0.1y = 1411.75
0.085(15,250 - y) + 0.1y = 1,411.75
1,296.25 - 0.085y + 0.1y = 1,411.75
0.015y = 115.5
y = 7,700

x = 15,250 - y
x = x = 15,250 - 7,700
x = 7,550

answer

$7,550 invested on account with annual interest rate 8.5%
$7,700 invested on account with annual interest rate 10%

8 0

2 years ago

4 The ratio of corresponding dimensions of two similar solids is 3/4. The surface

White raven [17]

4.

The ratio is 3/4 for corresponding dimensions, the ratio of their surface areas is equal to the square of this ratio:

$\sf (\dfrac{3}{4})^2=\dfrac{S}{96}$

Simplify the exponent:

$\sf \dfrac{9}{16}=\dfrac{96}{S}$

Cross multiply:

$\sf 9S=1536$

Divide 9 to both sides:

$\sf S\approx 170.7~m^2$

So the surface area of the second solid is 54 square meters.

The ratio is 3/4 for corresponding dimensions, the ratio of their volumes is equal to the cube of this ratio:

$\sf (\dfrac{3}{4})^3=\dfrac{720}{V}$

Simplify the exponent:

$\sf \dfrac{27}{64}=\dfrac{720}{V}$

Cross multiply:

$\sf 27V=46080$

Divide 64 to both sides:

$\sf V\approx 1706.7~m^3$

5.

A globe is a sphere, use the formula for the volume of a sphere:

$\sf V=\dfrac{4}{3}\pi r^3$

The radius is half of the diameter, so the radius here is 40/2 = 20. Plug it in the formula, use 3.14 to approximate for Pi:

$\sf V=\dfrac{4}{3}(3.14)(20)^3$

Simplify the exponent:

$\sf V=\dfrac{4}{3}(3.14)(8000)$

Multiply:

$\sf V\approx \boxed{\sf 33,493~in^3}$

6 0

3 years ago

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Order the numbers in each list from least to greatest.

Neporo4naja [7]

The answer is letter B

8 0

2 years ago

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